Sounds like one of the root maggots.

Best treatment is rotate your crops -- move the crop elsewhere for the next several seasons.

Dunca, what kind of damage are you seeing?

You need to find out what it is before you can fight it.

The cause of most carrot damage down here in western Washington State is the dreaded Carrot Rust Fly, but the cure is fairly simple.

When you sow your carrots next year (in a fresh spot), surround the bed with some stakes and clear plastic about 18" (45 cm) higher than the bed. I pound in some rebar and wrap with dollar store food plastic wrap. Wrap it immediately after sowing.

Carrot rust flies fly close to the ground, usually a foot or so (30 cm).

Sue

As was said, it's wise to rotate your crops to a new site. If the problem is due to the carrot rust fly, it survives in the soil from one season to the next.

So if you plant in the same place, then cover the planting as described in the previous post, the flies will emerge into a well stocked cafeteria -- that's where they'll lay their eggs and their kids will have a feast.

Details about carrot rust fly
http://uspest.org/pdf/reb43.pdf

Here is a link that might be useful: carrot rust fly

I thank you folks that are more knowledable than me. I did suspect it was the carrot fly/worm but, had never seen it before.
In the past few years I had planted seeds from Stokes that was called "No Fly" but, they were not offering it this year. I suppose now that I will wait and see how the parsnips fare out, although they are in a different raised bed.
Thanks again to my fellow gardenerns.

Dunc